76317813 has 48 divisors (see below), whose sum is σ = 136368960. Its totient is φ = 40435200.

The previous prime is 76317809. The next prime is 76317817. The reversal of 76317813 is 31871367.

76317813 is a `hidden beast` number, since 7 + 631 + 7 + 8 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (76317809) and next prime (76317817).

It is not a de Polignac number, because 76317813 - 2² = 76317809 is a prime.

It is a super-3 number, since 3×76317813³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76317817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22893 + ... + 26013.

It is an arithmetic number, because the mean of its divisors is an integer number (2841020).

Almost surely, 2^76317813 is an apocalyptic number.

It is an amenable number.

76317813 is a deficient number, since it is larger than the sum of its proper divisors (60051147).

76317813 is a wasteful number, since it uses less digits than its factorization.

76317813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3167 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 76317813 is about 8736.0066964260. The cubic root of 76317813 is about 424.1719758193.

The spelling of 76317813 in words is "seventy-six million, three hundred seventeen thousand, eight hundred thirteen".